Question

In a deck of 52 cards, there are 4 kings, 4 queens, 4 jacks . These are known as face cards. If one card from the deck is withdrawn, what is the probability that it is not a face card?

• A. $\frac{4}{13}$
• B. $\frac{5}{13}$
• C. $\frac{8}{13}$
• D. $\frac{10}{13}$

Answer 1

The correct option is D

$\frac{10}{13}$

Total Number of face cards = 3$\times$4 = 12

P (not being face card) = 1 - P( being face card)

P(being face card) = $\frac{\text{Number of face cards}}{\text{Total number of cards}}$ = $\frac{12}{52}$ = $\frac{3}{13}$

P(not being a face card) = $1-\frac{3}{13}$ = $\frac{10}{13}$